Groups acting on products of locally finite trees
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910124278284288 |
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| author | Button, J. O. |
| author_facet | Button, J. O. |
| contents | We examine the question of which finitely generated groups act properly on a finite product of locally finite simplicial trees and present evidence in favour of hyperbolic surface groups having such an action. We also give a completely explicit embedding of the genus 2 closed hyperbolic surface group in $SL_2(\mathbb{F}_p(x,y))$ for any prime $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_06139 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Groups acting on products of locally finite trees Button, J. O. Group Theory We examine the question of which finitely generated groups act properly on a finite product of locally finite simplicial trees and present evidence in favour of hyperbolic surface groups having such an action. We also give a completely explicit embedding of the genus 2 closed hyperbolic surface group in $SL_2(\mathbb{F}_p(x,y))$ for any prime $p$. |
| title | Groups acting on products of locally finite trees |
| topic | Group Theory |
| url | https://arxiv.org/abs/2603.06139 |